In mathematics, a twisted cubic is a smooth, rational curve C of degree three in projective 3-space P3. It is a fundamental example of a skew curve. It is essentially unique, up to projective transformation (the twisted cubic, therefore). In algebraic geometry, the twisted cubic is a simple example of a projective variety that is not linear or a hypersurface, in fact not a complete intersection. It is the three-dimensional case of the rational normal curve, and is the image of a Veronese map of degree three on the projective line. (Wikipedia).
algebraic geometry 27 The twisted cubic
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It describes two examples: the twisted cubic is isomorphic to a projective line, and the affine plane without the origin is not isomorphic to any affine algebraic set.
From playlist Algebraic geometry I: Varieties
Solving a Cubic Equation Using a Triangle
There is this surprising fact about cubic equations with 3 real solutions where an equilateral triangle centered on the inflection point can always be scaled/rotated by some amount such that its vertices will line up with the roots of the equation. But is there any way that this can be us
From playlist Summer of Math Exposition Youtube Videos
Cubic Curves (2 of 4: Polynomial Division & the factors of a Polynomial)
More resources available at www.misterwootube.com
From playlist Further Polynomials
Algebraic geometry 2 Two cubic curves.
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses two examples of cubic curves: a nodal cubic, and an elliptic curve.
From playlist Algebraic geometry I: Varieties
What are Cubic Graphs? | Graph Theory
What are cubic graphs? We go over this bit of graph theory in today's math lesson! Recall that a regular graph is a graph in which all vertices have the same degree. The degree of a vertex v is the number of edges incident to v, or equivalently the number of vertices adjacent to v. If ever
From playlist Graph Theory
Solving Cubic Inequalities (1 of 3: Interpreting the graph)
More resources available at www.misterwootube.com
From playlist Further Work with Functions
Cubic and Reciprocal Graphs: Find Cubic Equation From Sketch (3 Solutions) (Grade 9) - Maths
Topic: Cubic and Reciprocal Graphs: Find Cubic Equation From Sketch (3 Solutions) Do this paper online for free: https://www.onmaths.com/cubic-and-reciprocal-graphs/ Grade: 9 This question appears on calculator and non-calculator higher GCSE papers. Practise and revise with OnMaths. Go to
From playlist Cubic and Reciprocal Graphs
Twists of elliptic curves - Nayoung Kim
Topic: Twists of elliptic curves Speaker: Nayoung Kim, Member, School of Mathematics Time/Room: 2:15pm - 2:30pm/S-101 More videos on http://video.ias.edu
From playlist Mathematics
More on cubic K3 categories - Daniel Huybrechts
Daniel Huybrechts March 10, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Sums of Two Cubes by Ari Shnidman
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Generic K3 categories and Hodge theory - Daniel Huybrechts
Daniel Huybrechts University of Bonn September 16, 2014 In this talk I will focus on two examples of K3 categories: bounded derived categories of (twisted) coherent sheaves and K3 categories associated with smooth cubic fourfolds. The group of autoequivalences of the former has been inten
From playlist Mathematics
Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg
Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c
From playlist Algebraic Calculus One
CTNT 2020 - Non-vanishing for cubic L-functions - Alexandra Florea
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Conference Videos
Residual Intersections in Geometry and Algebra by David Eisenbud
DISTINGUISHED LECTURES RESIDUAL INTERSECTIONS IN GEOMETRY AND ALGEBRA SPEAKER: David Eisenbud (Director, Mathematical Sciences Research Institute, and Professor of Mathematics, UC Berkeley) DATE: 13 December 2019, 16:00 to 17:00 VENUE: Madhava Lecture Hall, ICTS-TIFR, Bengaluru In thi
From playlist DISTINGUISHED LECTURES
Kuznetsov's Calabi-Yau - Daniel Huybrechts
Workshop on Homological Mirror Symmetry: Methods and Structures Speaker: Daniel Huybrechts Affiliation: University of Bonn Title: Kuznetsov's Calabi-Yau categories: introduction and applications Date: November 8, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Ari Shnidman: Monogenic cubic fields and local obstructions
Recording during the meeting "Zeta Functions" the December 05, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http:
From playlist Number Theory
Cubic and Reciprocal Graphs: Find Cubic Equation From Sketch (2 Solutions) (Grade 9) - Maths
Topic: Cubic and Reciprocal Graphs: Find Cubic Equation From Sketch (2 Solutions) Do this paper online for free: https://www.onmaths.com/cubic-and-reciprocal-graphs/ Grade: 9 This question appears on calculator and non-calculator higher GCSE papers. Practise and revise with OnMaths. Go to
From playlist Cubic and Reciprocal Graphs
Christian Lehn: Symplectic varieties from cubic fourfolds
I will explain a construction of a family of 8-dimensional projective complex symplectic manifolds starting from the moduli space of twisted cubics on a general cubic fourfold. The relation to \mathrm{Hilb}^4 of a K3-surface is still open. This is a joint work with Manfred Lehn, Christoph
From playlist HIM Lectures: Junior Trimester Program "Algebraic Geometry"